# Global weak solutions for coupled transport processes in concrete walls at high temperatures

@inproceedings{Benevs2012GlobalWS, title={Global weak solutions for coupled transport processes in concrete walls at high temperatures}, author={Michal Benevs and Radek vStefan}, year={2012} }

We consider an initial-boundary value problem for a fully nonlinear coupled parabolic system with nonlinear boundary conditions modelling hygro-thermal behavior of concrete at high temperatures. We prove a global existence of a weak solution to this system on an arbitrary time interval. The main result is proved by an approximation procedure. This consists in proving the existence of solutions to mollified problems using the Leray-Schauder theorem, for which a priori estimates are obtained. The… CONTINUE READING

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